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Finding the Third Proportional to 200,973 and 319,909.50

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Solution

The third proportional to 200,973 and 319,909.50 is: 509,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,973 : 319,909.50 = 319,909.50 : x
  2. Step 2: Convert to fraction form
    200,973/319,909.50 = 319,909.50/x
  3. Step 3: Cross multiply
    200,973x = 319,909.50 × 319,909.50
  4. Step 4: Simplify right side
    200,973x = 102,342,088,190.25
  5. Step 5: Solve for x
    x = 102,342,088,190.25/200,973
  6. Step 6: Final answer
    x = 509,233.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.